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Kardar-Parisi-Zhang model and anomalous elasticity of two- and three-dimensional smectic-A liquid crystals

Golubović, Leonardo and Wang, Zhen-Gang (1994) Kardar-Parisi-Zhang model and anomalous elasticity of two- and three-dimensional smectic-A liquid crystals. Physical Review E, 49 (4). pp. 2567-2578. ISSN 1063-651X. http://resolver.caltech.edu/CaltechAUTHORS:GOLpre94

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Abstract

We reveal a deep theoretical relationship between equilibrium statistical physics of smectic-A liquid crystals and nonequilibrium statistical physics of the Kardar-Parisi-Zhang dynamical model [M. Kardar, G. Parisi, and Y.-C. Zhang, Phys. Rev. Lett. 56, 889 (1986)] for interfaces growing in the presence of a flux of incoming particles. This relationship provides an exact approach to study Landau-Peierls phenomena and anomalous elasticity of two-dimensional smectic-A liquid crystals. Also, it yields prediction of an unusual elastic critical point in three-dimensional smectic-A liquid crystals with broken inversion symmetry (head-to-tail packing of layers). We discuss the elasticity and fluctuations of these unusual smectic-A phases.


Item Type:Article
Additional Information:©1994 The American Physical Society. Received 4 October 1993. We are grateful to Tom Lubensky and Robijn Bruinsma for discussions. Z.G.W. acknowledges support of the Camille and Henry Dreyfus Foundation. [L.G. acknowledges suuport of the National Science Foundation -- West Virginia Experimental Program to Stimulate Competitive Research.] Erratum: Kardar-Parisi-Zhang model and anomalous elasticity of two- and three-dimensional smectic-A liquid crystals [Phys. Rev. E 49, 2567 (1994)]. Phys. Rev. E 50, 4265 (1994).
Record Number:CaltechAUTHORS:GOLpre94
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:GOLpre94
Alternative URL:http://dx.doi.org/10.1103/PhysRevE.49.2567
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8792
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Deposited On:17 Sep 2007
Last Modified:26 Dec 2012 09:42

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